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A girl and a boy are riding on a merry-go-round that is turning at a constant rate. The girl is near the outer edge, and the boy is closer to the center. Who has greater linear speed?Group of answer choicesBoth the girl and the boy have the same nonzero linear speed.The girl has greater linear speed.Both the girl and the boy have zero linear speed.The boy has greater linear speed.

Question

A girl and a boy are riding on a merry-go-round that is turning at a constant rate. The girl is near the outer edge, and the boy is closer to the center. Who has greater linear speed?Group of answer choicesBoth the girl and the boy have the same nonzero linear speed.The girl has greater linear speed.Both the girl and the boy have zero linear speed.The boy has greater linear speed.

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Solution

The girl has greater linear speed.

Here's why:

Linear speed is the distance traveled per unit of time. In the case of a merry-go-round, the distance traveled by a point on the edge is greater than the distance traveled by a point near the center in the same amount of time. This is because the point on the edge has a greater circumference to travel.

So, even though the merry-go-round is turning at a constant rate (i.e., the angular speed is the same for all points), the girl near the outer edge is covering a greater distance in each rotation than the boy near the center. Therefore, the girl has a greater linear speed.

This problem has been solved

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